Question: Rhea rolls a regular die 10 times and writes down a 10-tuple (r1, r2, r3, . . . , r9, r10) of the numbers that

Rhea rolls a regular die 10 times and writes down a 10-tuple (r1, r2, r3, . . . , r9, r10) of the numbers

that she rolls. Determine the number of such 10-tuples for which r1 +r2 +r3 ++r9 +r10 57.

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